Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains

Long Chains of Nearly Doubled Primes

A chain of nearly doubled primes is an ordered set {a\,ai,... ,a\} of prime numbers, interlinked by o^ = 2a^_i ± 1. A search for long chains of this kind has been performed in the range a\ < 250. Chains of length up to 13 have been found. Shorter chains have been counted in some restricted ranges. Some of these counts are compared with the frequencies predicted by a quantitative version of the ...

Observation of prethermalization in long-range interacting spin chains

Although statistical mechanics describes thermal equilibrium states, these states may or may not emerge dynamically for a subsystem of an isolated quantum many-body system. For instance, quantum systems that are near-integrable usually fail to thermalize in an experimentally realistic time scale, and instead relax to quasi-stationary prethermal states that can be described by statistical mechan...

Exact Solution of Long-Range Interacting Spin Chains with Boundaries

We consider integrable models of the Haldane-Shastry type with open boundary conditions. We define monodromy matrices, obeying the reflection equation, which generate the symmetries of these models. Using a map to the Calogero-Sutherland Hamiltonian of BC type, we derive the spectrum and the highest weight eigenstates. 1/95 * Member of the CNRS † Laboratoire de la Direction des Sciences de la M...

Observation of propagating edge spin waves modes

Long-lived Nuclear Spin States in Multiple-Spin Systems

a ) 400 MHz 1H-NMR spectrum at 300 K of citric acid; b) typical singlet state pattern obtained for t = 1 ms; c) singlet state pattern obtained for t = 3.5 s. The sequence, originally written for the AX case, was applied to the citric acid, an AA’BB’ four spin system. The CW decoupling was set to 3.5 kHz while the timing optimized to obtain the maximum population of the singlet state at the time...